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SageMath
E = EllipticCurve("fc1")
E.isogeny_class()
Elliptic curves in class 288990.fc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
288990.fc1 | 288990fc1 | \([1, -1, 1, -72533, -8010323]\) | \(-11993263569/972800\) | \(-3423033930700800\) | \([]\) | \(2882880\) | \(1.7270\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 288990.fc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 288990.fc do not have complex multiplication.Modular form 288990.2.a.fc
sage: E.q_eigenform(10)